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Finding the Fourth Proportional to 5,272.74, 7,907.31 and 1,988.82

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Solution

The fourth proportional to 5,272.74, 7,907.31 and 1,988.82 is: 2,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.74 : 7,907.31 = 1,988.82 : x
  2. Step 2: Convert to fraction form
    5,272.74/7,907.31 = 1,988.82/x
  3. Step 3: Cross multiply
    5,272.74x = 7,907.31 × 1,988.82
  4. Step 4: Simplify right side
    5,272.74x = 15,726,216.27
  5. Step 5: Solve for x
    x = 15,726,216.27/5,272.74
  6. Step 6: Final answer
    x = 2,982.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.